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133444331 = 1014872713
BaseRepresentation
bin1111111010000…
…11001011101011
3100022002200012122
413331003023223
5233130204311
621124101455
73210154346
oct775031353
9308080178
10133444331
1169364779
123883488b
1321853457
1413a1945d
15baae0db
hex7f432eb

133444331 has 8 divisors (see below), whose sum is σ = 135092064. Its totient is φ = 131803200.

The previous prime is 133444319. The next prime is 133444349.

It is a happy number.

133444331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133444331 - 214 = 133427947 is a prime.

It is a super-2 number, since 2×1334443312 = 35614778952075122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133444331.

It is not an unprimeable number, because it can be changed into a prime (133444931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47831 + ... + 50543.

It is an arithmetic number, because the mean of its divisors is an integer number (16886508).

Almost surely, 2133444331 is an apocalyptic number.

133444331 is a deficient number, since it is larger than the sum of its proper divisors (1647733).

133444331 is a wasteful number, since it uses less digits than its factorization.

133444331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301.

The product of its digits is 5184, while the sum is 26.

The square root of 133444331 is about 11551.8107238649. The cubic root of 133444331 is about 511.0146798734.

The spelling of 133444331 in words is "one hundred thirty-three million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 101 487 2713 49187 274013 1321231 133444331